arithmetic geometric mean的意思|示意

美 / əˈriθmətik ˌdʒi:əˈmetrɪk mi:n / 英 / əˈrɪθmɪtɪk ˌdʒiəˈmɛtrɪk min /

算术几何平均


arithmetic geometric mean的用法详解

Arithmetic Mean and Geometric Mean

Arithmetic mean (AM) and geometric mean (GM) are two important types of mean in mathematics. In statistics, both are used to calculate the average of a given set of numbers. While the arithmetic mean is used to calculate the average of a group of numbers, the geometric mean is used to calculate the average of a set of proportions or ratios.

The arithmetic mean is the sum of all numbers in a set divided by the total number of items in the set. It is a measure of central tendency which is calculated by adding up the values of a set of numbers and then dividing the sum by the number of items in the set. This is also referred to as the arithmetic average. For example, if the set of numbers is 2, 4, 6, 8 and 10, the arithmetic mean is (2 + 4 + 6 + 8 + 10) / 5 = 6.

The geometric mean on the other hand is the average of a set of numbers or proportions obtained by taking the product of the numbers and then taking the nth root of the product, where n is the number of items in the set. It is a measure of central tendency which takes into account the relative magnitudes of the numbers in the set. For example, if the set of numbers is 2, 4, 6, 8 and 10, the geometric mean is (2 x 4 x 6 x 8 x 10)^(1/5) = 6.

Arithmetic mean and geometric mean are both used to calculate the average of a given set of numbers. However, it is important to note that the way of calculation differs and so does the result. Therefore, it is advisable to use the right type of mean depending on the context.

arithmetic geometric mean相关短语

1、 arithmetic-geometric mean 算术几何平均,算术几何平均值

2、 Arithmetic-Geometric Mean Inequality 算数几何平均不等式

3、 theorem of arithmetic-geometric-mean 算术

4、 arithmetic-geometric mean distance 算术

5、 arithmetic-geometric mean divergence 算术

6、 arithmetic geometric mean inequalities 算术

7、 arithmetic-geometric mean inequalities 算术

8、 arithmetic geometric mean computations 算术

9、 mixed arithmetic-geometric mean inequality 混合算术

arithmetic geometric mean相关例句

In fact, there are some very old books that show this as the average, the sum divided by two arithmetic mean, but the modern practice is to use the geometric mean.

事实上,一些很老的书籍上,平均的定义就是算数意义的,总的来说被分为两种算数意义,但现代我们多用几何意义。

This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming (GP) briefly.

系统地讨论了代数多项式的算术- 几何均值定理,并对原型几何规划理论作出了简明的推导与分析。

Then, formulate a general weight function based on weight arithmetic, weight geometric and weighted harmonic mean, which provides math mean for the study.

然后根据算术均值方法、几何均值方法和调和均值方法,构造一个综合权重均值函数,为本文的研究提供了数学方法。